Suppose that $x in [0, 1]$ and $a, b, c$ are all known real numbers. I have an expression that looks something like this,

$$ frac{ax + O(x^2)}{(1 – xb – x^2c + O(x)^2}$$

It there away that I can simplify this without the O/o term turning into $o(x)$ or $O(x)$, and I can get the O/o term out of the denominator? Thanks in advance.